{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "e5b9646f-c6bc-45da-affe-8efa57f12147",
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "e317400d-da5a-4a39-9381-168d0631c585",
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAD8CAYAAACb4nSYAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAAAsTAAALEwEAmpwYAAASg0lEQVR4nO3df4xl5X3f8fdn+aFm10Q4ZUz4tbtuhbCIVWM6WsdCtbAdrGWLjFtFLauJQ1JLE0emstVKDclKSfsHkqUqbpViGU0NNVYnEDc2CWrWNihxhJH8g9ntYsALZotYmCxl10EB04mK1vn2j3tWHsb37ty9587emTnvl3R1znnOc875HiE+c/a555ybqkKS1A1bJl2AJOnsMfQlqUMMfUnqEENfkjrE0JekDjH0JalDVg39JFck+UaSw0meSvLJpv3nkjyc5Nlm+tYB2+9O8kySI0luH/cJSJKGl9Xu009yCXBJVR1McgFwAPgI8GvAK1X16SbM31pVv7Vi23OAHwA3AIvAY8Deqvr+uE9EkrS6Va/0q+qlqjrYzP8IOAxcBtwM3Nt0u5feH4KVdgFHquq5qnoDuL/ZTpI0AeeeSeckO4F3A98BLq6ql6D3hyHJ2/pschnw4rLlReA9A/Y9C8wCbNu27R+/4x3vOJPSJKnTDhw48MOqmlqt39Chn+QtwJeBT1XVa0mG2qxPW9/xpKqaA+YApqena2FhYdjSJKnzkhwdpt9Qd+8kOY9e4M9X1Vea5peb8f5T4/7H+2y6CFyxbPly4Ngwx5Qkjd8wd+8EuBs4XFWfWbbqQeDWZv5W4E/7bP4YcGWStyc5H7il2U6SNAHDXOlfB3wU+ECSQ81nD/Bp4IYkz9K7O+fTAEkuTbIfoKpOArcBX6f3BfCXquqpNTgPSdIQVh3Tr6pH6T82D/DBPv2PAXuWLe8H9o9aoCRpfHwiV5I6xNCXpA4x9CWpQwx9SeoQQ1+SOsTQl6QOMfQlqUMMfUnqEENfkjrE0JekDjH0JalDDH1J6hBDX5I6xNCXpA4x9CWpQwx9SeoQQ1+SOsTQl6QOWfXnEpPcA9wEHK+qdzZtfwRc1XS5EPibqrqmz7bPAz8CfgycrKrpsVQtSRrJqqEPfAG4E/jiqYaq+pen5pP8PvDqabZ/f1X9cNQCJUnjM8wPoz+SZGe/dUkC/AvgA2OuS5K0BtqO6f8T4OWqenbA+gIeSnIgyWzLY0mSWhpmeOd09gL3nWb9dVV1LMnbgIeTPF1Vj/Tr2PxRmAXYvn17y7IkSf2MfKWf5FzgnwN/NKhPVR1rpseBB4Bdp+k7V1XTVTU9NTU1almSpNNoM7zzS8DTVbXYb2WSbUkuODUPfAh4ssXxJEktrRr6Se4DvgVclWQxyceaVbewYmgnyaVJ9jeLFwOPJnkc+C7wZ1X1tfGVLkk6U8PcvbN3QPuv9Wk7Buxp5p8D3tWyPknSGPlEriR1iKEvSR1i6EtShxj6ktQhhr4kdYihL0kdYuhLUocY+pLUIYa+JJifh507YcuW3nR+ftIVaY20fcumpI1ufh5mZ2Fpqbd89GhvGWBmZnJ1aU14pS913b59Pwn8U5aWeu3adAx9qeteeOHM2rWhGfpS1w360SJ/zGhTMvSlrrvjDti69c1tW7f22rXpGPpS183MwNwc7NgBSW86N+eXuJuUd+9I6gW8Id8JXulLUocY+pLUIYa+JHXIMD+Mfk+S40meXNb275P8VZJDzWfPgG13J3kmyZEkt4+zcEnSmRvmSv8LwO4+7f+pqq5pPvtXrkxyDvBZ4EbgamBvkqvbFCtJamfV0K+qR4BXRtj3LuBIVT1XVW8A9wM3j7AfSdKYtBnTvy3J95rhn7f2WX8Z8OKy5cWmra8ks0kWkiycOHGiRVmSpEFGDf3PAf8QuAZ4Cfj9Pn3Sp60G7bCq5qpquqqmp6amRixLknQ6I4V+Vb1cVT+uqr8D/iu9oZyVFoErli1fDhwb5XiSpPEYKfSTXLJs8Z8BT/bp9hhwZZK3JzkfuAV4cJTjSZLGY9XXMCS5D7geuCjJIvB7wPVJrqE3XPM88BtN30uBz1fVnqo6meQ24OvAOcA9VfXUWpyEJGk4qRo4zD4x09PTtbCwMOkyJGnDSHKgqqZX6+cTuZLUIYa+JHWIoS9JHWLoS1KHGPqS1CGGviR1iKEvSR1i6EtShxj6ktQhhr4kdYihL0kdYuhLUocY+pLUIYa+JHWIoS9JHWLoS1KHGPqS1CGGviR1yKqhn+SeJMeTPLms7T8meTrJ95I8kOTCAds+n+SJJIeS+PuHkjRhw1zpfwHYvaLtYeCdVfWPgB8Av32a7d9fVdcM89uNkqS1tWroV9UjwCsr2h6qqpPN4reBy9egNknSmI1jTP9fAV8dsK6Ah5IcSDJ7up0kmU2ykGThxIkTYyhLkrRSq9BPsg84CcwP6HJdVV0L3Ah8Isn7Bu2rquaqarqqpqemptqUJUkaYOTQT3IrcBMwU1XVr09VHWumx4EHgF2jHk+S1N5IoZ9kN/BbwIeramlAn21JLjg1D3wIeLJfX0nS2THMLZv3Ad8CrkqymORjwJ3ABcDDze2YdzV9L02yv9n0YuDRJI8D3wX+rKq+tiZnIUkayrmrdaiqvX2a7x7Q9xiwp5l/DnhXq+okSWPlE7mS1CGGviR1iKEvSR1i6EtShxj6ktQhhr4kdYihL0kdYuhLUocY+pLUIYa+JHWIoS9JHWLoS1KHGPqS1CGGviR1iKEvSR1i6EtShxj6ktQhhr4kdcgwv5F7T5LjSZ5c1vZzSR5O8mwzfeuAbXcneSbJkSS3j7NwSdKZG+ZK/wvA7hVttwN/XlVXAn/eLL9JknOAzwI3AlcDe5Nc3apaSVIrq4Z+VT0CvLKi+Wbg3mb+XuAjfTbdBRypqueq6g3g/mY7SdKEjDqmf3FVvQTQTN/Wp89lwIvLlhebtr6SzCZZSLJw4sSJEcuSJJ3OWn6Rmz5tNahzVc1V1XRVTU9NTa1hWZLUXaOG/stJLgFopsf79FkErli2fDlwbMTjSZLGYNTQfxC4tZm/FfjTPn0eA65M8vYk5wO3NNtJkiZkmFs27wO+BVyVZDHJx4BPAzckeRa4oVkmyaVJ9gNU1UngNuDrwGHgS1X11NqchiRpGOeu1qGq9g5Y9cE+fY8Be5Yt7wf2j1ydJGmsfCJXkjrE0JekDjH0pWHMz8POnbBlS286Pz/piqSRrDqmL3Xe/DzMzsLSUm/56NHeMsDMzOTqkkbglb60mn37fhL4pywt9dqlDcbQl1bzwgtn1i6tY4a+tJrt28+sXVrHDH1pNXfcAVu3vrlt69Zeu7TBGPrSamZmYG4OduyApDedm/NLXG1I3r0jDWNmxpDXpuCVviR1iKEvSR1i6EtShxj6ktQhhr4kdYihL0kdYuhLUocY+pLUISOHfpKrkhxa9nktyadW9Lk+yavL+vxu64olSSMb+YncqnoGuAYgyTnAXwEP9On6zaq6adTjSJLGZ1zDOx8E/ndVHR3T/iRJa2BcoX8LcN+Ade9N8niSryb5hUE7SDKbZCHJwokTJ8ZUliRpudahn+R84MPA/+iz+iCwo6reBfwX4E8G7aeq5qpquqqmp6am2pYlSepjHFf6NwIHq+rllSuq6rWqer2Z3w+cl+SiMRxTkjSCcYT+XgYM7ST5+SRp5nc1x/vrMRxTkjSCVu/TT7IVuAH4jWVtHweoqruAXwZ+M8lJ4G+BW6qq2hxTkjS6VqFfVUvA31/Rdtey+TuBO9scQ5I0Pj6RK0kdYuhLUocY+pLUIYa+JHWIoS9JHWLoS1KHGPqS1CGGviR1iKEvSR1i6EtShxj6ktQhhr4kdYihL0kdYuhLUocY+pLUIYa+JHWIoS9JHWLoS1KHtAr9JM8neSLJoSQLfdYnyR8kOZLke0mubXM8SVI7rX4jt/H+qvrhgHU3Alc2n/cAn2umkqQJWOvhnZuBL1bPt4ELk1yyxseUJA3QNvQLeCjJgSSzfdZfBry4bHmxafspSWaTLCRZOHHiRMuyJEn9tA3966rqWnrDOJ9I8r4V69Nnm+q3o6qaq6rpqpqemppqWZYkqZ9WoV9Vx5rpceABYNeKLovAFcuWLweOtTmmJGl0I4d+km1JLjg1D3wIeHJFtweBX23u4vlF4NWqemnkaiVJrbS5e+di4IEkp/bzh1X1tSQfB6iqu4D9wB7gCLAE/Hq7ciVJbYwc+lX1HPCuPu13LZsv4BOjHkOSNF4+kStJHWLoS1KHGPoaj/l52LkTtmzpTefnJ12RpD7G8RoGdd38PMzOwtJSb/no0d4ywMzM5OqS9FO80ld7+/b9JPBPWVrqtUtaVwx9tffCC2fWLmliDH21t337mbVLmhhDX+3dcQds3frmtq1be+2S1hVDX+3NzMDcHOzYAUlvOjfnl7jSOuTdOxqPmRlDXtoAvNKXpA4x9CWpQwx9SeoQQ1+SOsTQl6QOMfQlqUMMfUnqEENfkjqkzQ+jX5HkG0kOJ3kqySf79Lk+yatJDjWf321XriSpjTZP5J4E/m1VHUxyAXAgycNV9f0V/b5ZVTe1OI4kaUxGvtKvqpeq6mAz/yPgMHDZuAqTJI3fWMb0k+wE3g18p8/q9yZ5PMlXk/zCOI4nSRpN6xeuJXkL8GXgU1X12orVB4EdVfV6kj3AnwBXDtjPLDALsN33sEvSmmh1pZ/kPHqBP19VX1m5vqpeq6rXm/n9wHlJLuq3r6qaq6rpqpqemppqU5YkaYA2d+8EuBs4XFWfGdDn55t+JNnVHO+vRz2mJKmdNsM71wEfBZ5Icqhp+x1gO0BV3QX8MvCbSU4CfwvcUlXV4piSpBZGDv2qehTIKn3uBO4c9RiSpPHyiVxJ6hBDX5I6xNCXpA4x9CWpQwx9SeoQQ1+SOsTQl6QOMfQlqUMM/bNlfh527oQtW3rT+flJVySpg1q/ZVNDmJ+H2VlYWuotHz3aWwaYmZlcXZI6xyv9s2Hfvp8E/ilLS712STqLDP2z4YUXzqxdktaIoX82DPpRGH8sRtJZZuifDXfcAVu3vrlt69ZeuySdRYb+2TAzA3NzsGMHJL3p3Jxf4ko667x752yZmTHkJU2cV/qS1CGGviR1iKEvSR3SKvST7E7yTJIjSW7vsz5J/qBZ/70k17Y5niSpnZFDP8k5wGeBG4Grgb1Jrl7R7UbgyuYzC3xu1ONJktprc6W/CzhSVc9V1RvA/cDNK/rcDHyxer4NXJjkkhbHlCS10OaWzcuAF5ctLwLvGaLPZcBLK3eWZJbevwYA/l+SJ1vUtp5dBPxw0kWsIc9vY/P8Nq6rhunUJvTTp61G6NNrrJoD5gCSLFTVdIva1q3NfG7g+W10nt/GlWRhmH5thncWgSuWLV8OHBuhjyTpLGkT+o8BVyZ5e5LzgVuAB1f0eRD41eYunl8EXq2qnxrakSSdHSMP71TVySS3AV8HzgHuqaqnkny8WX8XsB/YAxwBloBfH3L3c6PWtQFs5nMDz2+j8/w2rqHOLVV9h9glSZuQT+RKUocY+pLUIesq9Fd7rcNGluSeJMc36/MHSa5I8o0kh5M8leSTk65pnJL8vSTfTfJ4c37/YdI1jVuSc5L8ryT/c9K1jFuS55M8keTQsLc2biRJLkzyx0mebv4ffO/AvutlTL95rcMPgBvo3er5GLC3qr4/0cLGJMn7gNfpPaH8zknXM27Nk9aXVNXBJBcAB4CPbKL/fgG2VdXrSc4DHgU+2Txpvikk+TfANPCzVXXTpOsZpyTPA9NVtSkfzEpyL/DNqvp8czfl1qr6m35919OV/jCvddiwquoR4JVJ17FWquqlqjrYzP8IOEzv6etNoXmVyOvN4nnNZ31cMY1BksuBfwp8ftK16Mwk+VngfcDdAFX1xqDAh/UV+oNe2aANJslO4N3AdyZcylg1wx+HgOPAw1W1mc7vPwP/Dvi7CdexVgp4KMmB5pUvm8k/AE4A/60Znvt8km2DOq+n0B/6lQ1av5K8Bfgy8Kmqem3S9YxTVf24qq6h92T5riSbYpguyU3A8ao6MOla1tB1VXUtvTf/fqIZbt0szgWuBT5XVe8G/i8w8DvR9RT6vrJhg2vGur8MzFfVVyZdz1pp/un8l8DuyVYyNtcBH27Gve8HPpDkv0+2pPGqqmPN9DjwAL3h5M1iEVhc9i/PP6b3R6Cv9RT6w7zWQetU80Xn3cDhqvrMpOsZtyRTSS5s5n8G+CXg6YkWNSZV9dtVdXlV7aT3/91fVNWvTLissUmyrbm5gGbY40PAprmLrqr+D/BiklNv2fwgMPAGijZv2RyrQa91mHBZY5PkPuB64KIki8DvVdXdk61qrK4DPgo80Yx7A/xOVe2fXEljdQlwb3OX2RbgS1W16W5t3KQuBh7oXZdwLvCHVfW1yZY0dv8amG8umJ/jNK+8WTe3bEqS1t56Gt6RJK0xQ1+SOsTQl6QOMfQlqUMMfUnqEENfkjrE0JekDvn/lJ0ielpEx0EAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot([1,2,3,4],[1,4,9,16],'ro')\n",
    "plt.axis([0,6,0,20])\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "ff4071e4-762b-4278-98d0-83a9959f0c2c",
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "t =np.arange(0,5,0.2)\n",
    "plt.plot(t,t,'r-',\n",
    "        t,t**2,'b--',\n",
    "        t,t**3,'g--')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "75dd2484-de44-4048-a696-8ceb180017b3",
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x=np.linspace(-np.pi,np.pi)\n",
    "y = np.sin(x)\n",
    "plt.plot(x,y,linewidth = 2,color = 'orange')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "2af5c520-7869-488f-8f9f-69be0bace462",
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.linspace(-3,3,50)\n",
    "y_1 = 2*x+1\n",
    "y_2 = x**2\n",
    "plt.figure()\n",
    "plt.plot(x,y_1,color = 'red',linewidth = 2,linestyle = '--',label = 'up')\n",
    "plt.plot(x,y_2,color = 'orange',linewidth = 2, linestyle = '-',label = 'down')\n",
    "plt.xlim((-3,3))\n",
    "plt.ylim (0,10)\n",
    "plt.xlabel(\"I am x\")\n",
    "plt.ylabel(\"I am y\")\n",
    "\n",
    "plt.xticks(np.linspace(-3,3,10))\n",
    "plt.yticks([0,2,4,6,8,10],\n",
    "          [r\"$really\\ bad$\",r\"$bad$\",r\"$fine$\",r\"$good$\",r\"$very\\ good$\",r\"$perfect\\ \\alpha$\"])\n",
    "ax = plt.gca()\n",
    "ax.spines['right'].set_color('none')\n",
    "ax.spines['top'].set_color('none')\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "ax.spines['left'].set_position(('data',0))\n",
    "plt.legend(loc = 'upper right')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7359006e",
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}